2822307840 has 544 divisors, whose sum is σ = 11324534400. Its totient is φ = 660602880.

The previous prime is 2822307833. The next prime is 2822307877. The reversal of 2822307840 is 487032282.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2822307795 and 2822307804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97320946 + ... + 97320974.

Almost surely, 2^2822307840 is an apocalyptic number.

2822307840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2822307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5662267200).

2822307840 is an abundant number, since it is smaller than the sum of its proper divisors (8502226560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2822307840 is an equidigital number, since it uses as much as digits as its factorization.

2822307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2822307840 is about 53125.3973161613. The cubic root of 2822307840 is about 1413.1929451948.

The spelling of 2822307840 in words is "two billion, eight hundred twenty-two million, three hundred seven thousand, eight hundred forty".